Multiamicable Numbers
Two integers 
and 
are 
-multiamicable if
and
where
is the Divisor Function and 
are Positive integers. If 
,
is an Amicable Pair.
cannot have just one distinct prime factor, and if it has precisely two prime factors, then 
and is Even. Small multiamicable numbers for small are given by Cohen et al. (1995). Several ofthese numbers are reproduced in the below table.
 |  | | |
| 1 | 6 | 76455288 | 183102192 |
| 1 | 7 | 52920 | 152280 |
| 1 | 7 | 16225560 | 40580280 |
| 1 | 7 | 90863136 | 227249568 |
| 1 | 7 | 16225560 | 40580280 |
| 1 | 7 | 70821324288 | 177124806144 |
| 1 | 7 | 199615613902848 | 499240550375424 |
References
Cohen, G. L; Gretton, S.; and Hagis, P. Jr. ``Multiamicable Numbers.'' Math. Comput. 64, 1743-1753, 1995.
- Self Number
- Self-Reciprocating Property
- Self-Recursion
- Selfridge-Hurwitz Residue
- Selfridge's Conjecture
- Self-Similarity
- Self-Transversality Theorem
- Selmer Group
- Semialgebraic Number
- Semianalytic
- Semicircle
- Semicolon Derivative
- Semiconvergent Series
- Semicubical Parabola
- Semiderivative
- Semidirect Product
- Semiflow
- Semigroup
- Semi-Integral
- Semilatus Rectum
- Semimagic Square
- Semimajor Axis
- Semiminor Axis
- Semiperfect Magic Cube
- Semiperfect Number